A wheel is rotating about an axis that is in the z-direction. The angular velocity ωz is -6.00 rad/s at t = 0, increases linearly with time, and is +4.00 rad/s at t = 19.0 s . We have taken counterclockwise rotation to be positive.

How long is the time interval during which the speed of the wheel is increasing?

A muon is created 50 km above the surface of the earth. In the earth's frame, the muon is traveling directly downward at 0.9999c.

Part A

In the earth's frame of reference, how much time elapses between the muon's creation and the time it reaches the surface?

Part B

Use time dilation to determine, in the muon's frame, how much time elapses between the muon's creation and the time it reaches the surface.

Part C

In the muon's frame of reference, length contraction reduces the distance between the point at which it is created and the surface of the earth. What is this distance?

A landing craft with mass 1.22×104 kg is in a circular orbit a distance 5.70×105 m above the surface of a planet. The period of the orbit is 5600 s . The astronauts in the lander measure the diameter of the planet to be 9.80×106 m . The lander sets down at the north pole of the planet.

A. What is the weight w of an astronaut of mass 86.0 kg as he steps out onto the planet's surface?

Agree that the derivative of entropy w/r to P at constant T is the negative of the product of volume and coefficient of thermal expansion? And that therefore deltaS is negligible for liquids and solids but can be quite substantial for gases? Please explain it!

1. A shot putter projected a shot at the angle of 28 degrees at a velocity of 47 fps. The shot was released from 7 ft from the ground.

a. Compute the velocity in the y and x direction (in fps).

b. Compute the time from release of the shot put to the highest point.

c. Compute the time from the highest point to the ground.

d. Determine the total time the shot traveled while in the air.

e. How far will the ball travel (in feet)?

Jupiter's moon Io has active volcanoes (in fact, it is the most volcanically active body in the solar system) that eject material as high as 500 km (or even higher) above the surface. Io has a mass of 8.93×1022 kg and a radius of 1821 km .

How high would this material go on earth if it were ejected with the same speed as on Io? Earth has a mass of 5.97×1024 kg and a radius of 6356 km.

The correct answer is 72.3 km. Please explain your work. Thank you~

1.) A box made of wood is sitting on a wooden floor. The box and contents has mass 40kg. The coefficient of static friction is 0.50 and kinetic friction is 0.30. A person begins to push the box horizontally by slowly increasing their force until it reaches 160N. Describe the state of motion (if any) of the box and the frictional force acting.

2.) The formula for friction is f=uN, for both static and dynamic friction. What factors that may effect the force of friction that are not listed in this equation. List three if you can and discuss them briefly.

Write brief but complete answers to the following questions

a) Write Schrodinger's time-independent,1-D equation

b) What does this equation represent?

c) What requirements must the wave equation satisfy?

d) What are the conditions for an acceptable solution to this equation?

baseball pitcher executes a pitch in 0.32 sec. (assume that his motion of the pitching arm is a circular, also assume that v₁ = 0). If his pitching arm is 90 cm long, what are the magnitudes of the tangential and radial accelerations on the ball just before ball release, when tangential ball speed is 35 m/s (in m/s²)? What is the magnitude of the total acceleration on the ball at this point (in m/s²)?

A generator at a utility company produces 100 A of current at 4.0 x 103 V. The voltage is stepped up to 2.4 x 105 V by a transformer before being sent on a high voltage line across a rural area to a city. Assume the effective resistance of the line is 30.0 Ω and the transformers are ideal.

a. Determine the percentage of power lost in the transmission line.

b. What percentage would be lost if the voltage would not have been stepped up?

c. How many kW-hr of energy is lost each day if the voltage would not have been stepped up?

d. Calculate the cost of this energy loss if the price of electricity is $.11/kW-hr.

The Boeing 777 aircraft has a takeoff mass of 240000kg and a takeoff speed of 90m/s . Assume that's the speed of air across the wing's bottom. The total surface area of both wings is 428m(sqrd). What airflow speed across the top of the wing is necessary for the plane to fly?

I know I have to use bernoulli's equation, but I'm not sure how to get all the variables. Could someone help, and also explain the process please?

A football quarterback is traveling straight backward at a speed of 5.1 m/s when he throws a pass to a receiver 15.5 m straight downfield.

(a) If the ball is thrown at an angle of 25° relative to the ground and is caught at the same height as it is released, what is its initial speed relative to the ground in m/s?

(b) How long does it take to get to the receiver in s?

(c) What is its maximum height above its point of release in m?

Could you explain the answer and show detailed work? Thanks! :)

A disc and solid sphere are both rolling without slipping so that both have a kinetic energy of 294. What is the translational kinetic energy of the disc ? What is the translational kinetic energy of the solid sphere ?

A bowling ball of mass m and radius r has a coefficient of static friction µ when in contact with an oiled wood surface. Model the ball as a solid uniform sphere. The surface is inclined at an angle θ with respect to the horizontal. What is the maximum angle of inclination of the surface such that the ball rolls without slipping? How does the angle change if the ball is now a hollow shell with all its mass concentrated at the rim? Explain